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3 years ago

Write the prime factorization of 500 using exponents.

Mathematics

1 answer:

vekshin13 years ago

5 0

2 x 2 x 5 x 5 x 5

2^2 x 5^3

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(ab^2 x -b^4a^3)^2 What is the answers

Umnica [9.8K]

Answer:

$\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8$

Step-by-step explanation:

Given the expression

$\left(ab^2\:x\:-b^4a^3\right)^2$

solving the expression

$\left(ab^2\:x\:-b^4a^3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2$

$a=ab^2x,\:\:b=b^4a^3$

so the expression becomes

$=\left(ab^2x\right)^2-2ab^2xb^4a^3+\left(b^4a^3\right)^2$

$=a^2b^4x^2-2a^4b^6x+a^6b^8$

Thus,

$\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8$

3 0

2 years ago

The bumper car ride at the state fair has three red cars,four green cars,and two blue cars.Joe is first in line for the ride and

sp2606 [1]

The answer is B.33.3%

7 0

3 years ago

A person spends 1/5 of his salary on rent, 3/7 on food, 1/3 on other expenses and saves the rest. If she earns $21,000 per month

sukhopar [10]

Answer:

$9600 saving / year

Step-by-step explanation:

1/5 of $21000 = 21000 / 5 = $4200 / month on rent

3/7 of $21000 = (21000 / 7) x 3 = $9000 / month on food (shocking right :) food is expensive)

1/3 of $21000 = 21000 / 3 = $7000 on other expenses / month

total savings/month = salary/month - rent/month - food/month - other expenses/month

total savings/month = 21000 - 4200 - 9000 - 7000

total savings/month = $800

BUT the question asks for savings per year. therefore, we must multiply the savings per month by total months per year (12)

800 x 12 = $9600

the person's total savings per year, with a salary of $21000 per month, is equal to $9600 per year

3 0

11 months ago

If a person starts investing $100 per month starting at age 21, and that money earns a 5% return every year, how much will this

aalyn [17]

The formula for calculating compound interest with yearly contributions is:

Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)

where the balance is the money earned after n years invested

Y is the interest rate as a fraction

Z is the yearly contribution

X is the starting investment

Therefore the calculation for this example is:

Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)

= $249,393.5

8 0

3 years ago

Read 2 more answers

Do you guys know which coordinates im supposed to graph on here?

nadezda [96]

Answer:

SOLVE FOR Y

graph y= 2x + 2

sp graph the points

(0,2) and then (1,4)

connect the points and extend the line.

Step-by-step explanation:

add 2x to both sides

-2x+y=2

+2x +2x

y= 2+2x

reverse

y= 2x+2

3 0

3 years ago